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A certain integer $x$ is a multiple of both 6 and 7 . Which of the fol
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23 Aug 2025, 02:06
23 Aug 2025, 02:06
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A certain integer $x$ is a multiple of both 6 and 7 . Which of the following must be true?
I. $x$ is a multiple of 21
II. $x$ is equal to 42
III. $x$ is an even number
(A) I
(B) I and II
(C) II and III
(D) I and III
(E) III
I. $x$ is a multiple of 21
II. $x$ is equal to 42
III. $x$ is an even number
(A) I
(B) I and II
(C) II and III
(D) I and III
(E) III
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Re: A certain integer $x$ is a multiple of both 6 and 7 . Which of the fol
[#permalink]
24 Aug 2025, 07:52
24 Aug 2025, 07:52
1
well x = 6m and x = 7n
multiply those two and you'll get x^2 = 42mn
m and n can be 1 and \sqrt{42} is obviously not 42 so option 2 is out
x is a multiple of 6 so it is also a multiple of 3
1st option is true and the last option is also true because if 6 is a multiple of x which is even, x is also an even number
therefore option D is right
idk if the explanation for x = 42 is right but this is how i solved it
multiply those two and you'll get x^2 = 42mn
m and n can be 1 and \sqrt{42} is obviously not 42 so option 2 is out
x is a multiple of 6 so it is also a multiple of 3
1st option is true and the last option is also true because if 6 is a multiple of x which is even, x is also an even number
therefore option D is right
idk if the explanation for x = 42 is right but this is how i solved it
gmatclubot
Re: A certain integer $x$ is a multiple of both 6 and 7 . Which of the fol [#permalink]
24 Aug 2025, 07:52
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